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Finding the Third Proportional to 69,120.84 and 104,315.34

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Solution

The third proportional to 69,120.84 and 104,315.34 is: 157,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,120.84 : 104,315.34 = 104,315.34 : x
  2. Step 2: Convert to fraction form
    69,120.84/104,315.34 = 104,315.34/x
  3. Step 3: Cross multiply
    69,120.84x = 104,315.34 × 104,315.34
  4. Step 4: Simplify right side
    69,120.84x = 10,881,690,941.68
  5. Step 5: Solve for x
    x = 10,881,690,941.68/69,120.84
  6. Step 6: Final answer
    x = 157,429.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.